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Finding the Fourth Proportional to 54,946.82, 82,454.07 and 21,661.22

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Solution

The fourth proportional to 54,946.82, 82,454.07 and 21,661.22 is: 32,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,946.82 : 82,454.07 = 21,661.22 : x
  2. Step 2: Convert to fraction form
    54,946.82/82,454.07 = 21,661.22/x
  3. Step 3: Cross multiply
    54,946.82x = 82,454.07 × 21,661.22
  4. Step 4: Simplify right side
    54,946.82x = 1,786,055,750.17
  5. Step 5: Solve for x
    x = 1,786,055,750.17/54,946.82
  6. Step 6: Final answer
    x = 32,505.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.